Simplify $-(x^2-6x+5)/(x^2-10x+25)$ ?

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Answer 1 · 2016-02-08T21:37:15

$(1-x)/(x-5)$

To simplify the expression, one should factorize both the expressions in numerator and denominator.

Factors of numerator are $-(x-5)(x-1)$ .

Factors of denominator are $(x-5)^2$

Hence it could be written as

$-((x-5)(x-1))/(x-5)^2$ or $-(x-1)/(x-5)$ or

$(1-x)/(x-5)$

Simplify -(x^2-6x+5)/(x^2-10x+25)-(x^2-6x+5)/(x^2-10x+25)?